Euclidean Geometric Invariants of Links in 3-sphere

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We present a new link invariant which depends on a representation of the link group in SO(3). The computer calculations indicate that an abelian version of this invariant is expressed in terms of the Alexander polynomial of the link. On the other hand, if we use non abelian representation, we get the squared non abelian Reidemeister torsion (at least for some torus knots).
10 pages, 3 figures

Keywords

Geometric Topology, Algebraic Topology

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/121814

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0409241
 http://arxiv.org/abs/math/0409241
 A shoter version of this paper is published in Proceedings of Chelyabinsk Scientific Center, Vol. 26 (2004), 1-5

Collections

arXiv